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Semi-supervised clustering is an very important topic in machine learning and computer vision. The key challenge of this problem is how to learn a metric, such that the instances sharing the same label are more likely close to each other on…

Machine Learning · Computer Science 2015-01-27 Gang Chen

Latent multi-view subspace clustering has been demonstrated to have desirable clustering performance. However, the original latent representation method vertically concatenates the data matrices from multiple views into a single matrix…

Machine Learning · Computer Science 2024-08-28 Long Shi , Lei Cao , Jun Wang , Badong Chen

Subspace clustering is an important unsupervised clustering approach. It is based on the assumption that the high-dimensional data points are approximately distributed around several low-dimensional linear subspaces. The majority of the…

Machine Learning · Computer Science 2021-12-20 Maryam Abdolali , Nicolas Gillis

In many applications, high-dimensional data points can be well represented by low-dimensional subspaces. To identify the subspaces, it is important to capture a global and local structure of the data which is achieved by imposing low-rank…

Machine Learning · Computer Science 2018-12-18 Maria Brbić , Ivica Kopriva

We consider the problem of simultaneously clustering and learning a linear representation of data lying close to a union of low-dimensional manifolds, a fundamental task in machine learning and computer vision. When the manifolds are…

Machine Learning · Computer Science 2023-08-25 Tianjiao Ding , Shengbang Tong , Kwan Ho Ryan Chan , Xili Dai , Yi Ma , Benjamin D. Haeffele

We present a novel deep neural network architecture for unsupervised subspace clustering. This architecture is built upon deep auto-encoders, which non-linearly map the input data into a latent space. Our key idea is to introduce a novel…

Computer Vision and Pattern Recognition · Computer Science 2017-09-11 Pan Ji , Tong Zhang , Hongdong Li , Mathieu Salzmann , Ian Reid

Low-rank learning has attracted much attention recently due to its efficacy in a rich variety of real-world tasks, e.g., subspace segmentation and image categorization. Most low-rank methods are incapable of capturing low-dimensional…

Computer Vision and Pattern Recognition · Computer Science 2016-11-16 Ping Li , Jun Yu , Meng Wang , Luming Zhang , Deng Cai , Xuelong Li

Motivated by multi-task and meta-learning approaches, we consider the problem of learning structure shared by tasks or users, such as shared low-rank representations or clustered structures. While all previous works focus on well-specified…

Machine Learning · Computer Science 2025-02-14 Mathieu Even , Laurent Massoulié

Subspace clustering refers to the problem of clustering high-dimensional data that lie in a union of low-dimensional subspaces. State-of-the-art subspace clustering methods are based on the idea of expressing each data point as a linear…

Computer Vision and Pattern Recognition · Computer Science 2016-08-08 Qilin Li , Ling Li , Wanquan Liu

In this paper, a novel unsupervised low-rank representation model, i.e., Auto-weighted Low-Rank Representation (ALRR), is proposed to construct a more favorable similarity graph (SG) for clustering. In particular, ALRR enhances the…

Machine Learning · Computer Science 2021-04-27 Zhiqiang Fu , Yao Zhao , Dongxia Chang , Xingxing Zhang , Yiming Wang

Semi-supervised clustering problems focus on clustering data with labels. In this paper,we consider the semi-supervised hypergraph problems. We use the hypergraph related tensor to construct an orthogonal constrained optimization model. The…

Optimization and Control · Mathematics 2023-06-21 Jingya Chang , Dongdong Liu , Min Xi

We introduce a general semiparametric clusterwise elliptical distribution to assess how latent cluster structure shapes continuous outcomes. Using a subjectwise representation, we first estimate cluster-specific mean vectors and a…

Methodology · Statistics 2026-04-10 Jen-Chieh Teng , Sheng-Hsin Fan , Chin-Tsang Chiang , Ming-Yueh Huang , Alvin Lim

The problem of fitting a union of subspaces to a collection of data points drawn from multiple subspaces is considered in this paper. In the traditional low rank representation model, the dictionary used to represent the data points is…

Computer Vision and Pattern Recognition · Computer Science 2016-10-31 Yu Song , Yiquan Wu

Deep subspace clustering (DSC) networks based on self-expressive model learn representation matrix, often implemented in terms of fully connected network, in the embedded space. After the learning is finished, representation matrix is used…

Computer Vision and Pattern Recognition · Computer Science 2024-01-31 Lovro Sindičić , Ivica Kopriva

Graphs have become increasingly popular in modeling structures and interactions in a wide variety of problems during the last decade. Graph-based clustering and semi-supervised classification techniques have shown impressive performance.…

Machine Learning · Computer Science 2020-09-01 Zhao Kang , Chong Peng , Qiang Cheng , Xinwang Liu , Xi Peng , Zenglin Xu , Ling Tian

In many real-world problems, we are dealing with collections of high-dimensional data, such as images, videos, text and web documents, DNA microarray data, and more. Often, high-dimensional data lie close to low-dimensional structures…

Computer Vision and Pattern Recognition · Computer Science 2013-02-06 Ehsan Elhamifar , Rene Vidal

Accurate land cover segmentation of spectral images is challenging and has drawn widespread attention in remote sensing due to its inherent complexity. Although significant efforts have been made for developing a variety of methods, most of…

Image and Video Processing · Electrical Eng. & Systems 2021-11-30 Carlos Hinojosa , Esteban Vera , Henry Arguello

This paper studies the subspace clustering problem. Given some data points approximately drawn from a union of subspaces, the goal is to group these data points into their underlying subspaces. Many subspace clustering methods have been…

Computer Vision and Pattern Recognition · Computer Science 2018-05-24 Canyi Lu , Jiashi Feng , Zhouchen Lin , Tao Mei , Shuicheng Yan

Multi-view subspace clustering has been applied to applications such as image processing and video surveillance, and has attracted increasing attention. Most existing methods learn view-specific self-representation matrices, and construct a…

Machine Learning · Computer Science 2020-08-26 Hong Tao , Chenping Hou , Yuhua Qian , Jubo Zhu , Dongyun Yi

Neural network-based clustering has recently gained popularity, and in particular a constrained clustering formulation has been proposed to perform transfer learning and image category discovery using deep learning. The core idea is to…

Computer Vision and Pattern Recognition · Computer Science 2018-06-29 Yen-Chang Hsu , Zhaoyang Lv , Joel Schlosser , Phillip Odom , Zsolt Kira